Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.2 - Linear Equations in One Variable - 1.2 Exercises - Page 89: 84c


The x-intercept is: $\frac{11}{2}$, the y-intercept is: $\frac{11}{7}$.

Work Step by Step

The x-intercept is when $y=0$, thus: $ax+b\cdot y=c\\ax+b\cdot0=c\\ax=c\\x=\frac{c}{a}$. The y-intercept is when $x=0$, thus: $ax+b\cdot y=c\\a\cdot0+by=c\\by=c\\y=\frac{c}{b}$. Hence here: the x-intercept is $\frac{11}{2}$, and the y-intercept is $\frac{11}{7}$.
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